Prime uniserial modules and rings
M Behboodi, Z Fazelpour - Journal of Algebra and Its Applications, 2019 - World Scientific
… We define prime uniserial modules as a generalization of uniserial modules. We say that
an R-module M is prime uniserial (℘-uniserial) if its prime submodules are linearly ordered by …
an R-module M is prime uniserial (℘-uniserial) if its prime submodules are linearly ordered by …
Rings all of whose prime serial modules are serial
… of “prime uniserial modules” and “prime serial modules” have … in [Prime uniserial modules
and rings, submitted; Noetherian … R-module M is prime uniserial (℘-uniserial) if any two prime …
and rings, submitted; Noetherian … R-module M is prime uniserial (℘-uniserial) if any two prime …
Noetherian rings whose modules are prime serial
M Behboodi, Z Fazelpour - Algebras and Representation Theory, 2017 - Springer
… rings have the property that every finitely generated module is ℘-serial?” Most recently, in our
paper, Prime uniserial modules and rings (… in the context of commutative rings. The goal of …
paper, Prime uniserial modules and rings (… in the context of commutative rings. The goal of …
Study on uniserial and serial rings and modules
A Uddin - 2016 - lib.buet.ac.bd
… rings. Some characterizations of Noetherian (resp. Artinian) uniserial and serial modules over
endomorphism rings … PJ ⊆ A ring R is a prime ring if RR is a prime module, ie, 0 is a prime …
endomorphism rings … PJ ⊆ A ring R is a prime ring if RR is a prime module, ie, 0 is a prime …
[HTML][HTML] Virtually uniserial modules and rings
M Behboodi, A Moradzadeh-Dehkordi, MQ Nejadi - Journal of Algebra, 2020 - Elsevier
… uniserial modules as a generalization of uniserial modules. Recently, the notion of virtually
semisimple modules … Now if R is a torch ring and P its unique minimal prime ideal, then we …
semisimple modules … Now if R is a torch ring and P its unique minimal prime ideal, then we …
Virtually homo-uniserial modules and rings
M Behboodi, A Moradzadeh-Dehkordi… - Communications in …, 2021 - Taylor & Francis
… uniserial modules as nontrivial generalizations of uniserial modules. We recall that an R-…
Assume that R i is a virtually homo-uniserial torch ring with a unique minimal prime ideal P i …
Assume that R i is a virtually homo-uniserial torch ring with a unique minimal prime ideal P i …
[PDF][PDF] Pseudo-prime submodules of modules
D Hassanzadeh-Lelekaami, H Roshan-Shekalgaurabi - Math. Rep, 2016 - imar.ro
… on the prime spectrum of a commutative ring R and the ring theoretic … -prime spectrum XM
of pseudo-prime submodules of a certain … We recall that an R-module is called uniserial if its …
of pseudo-prime submodules of a certain … We recall that an R-module is called uniserial if its …
[HTML][HTML] Almost uniserial rings and modules
M Behboodi, S Roointan-Isfahani - Journal of Algebra, 2016 - Elsevier
… almost left uniserial, but is not necessarily a left uniserial ring. Also… uniserial modules as a
generalization of uniserial modules. … rings each of which is either a prime ring or a primary ring. …
generalization of uniserial modules. … rings each of which is either a prime ring or a primary ring. …
[图书][B] Foundations of module and ring theory
R Wisbauer - 2018 - taylorfrancis.com
… to provide an introduction to module theory and the related part of ring theory. Starting from
a … Having in mind that the prime radical in a commutative ring consists of all the nilpotent …
a … Having in mind that the prime radical in a commutative ring consists of all the nilpotent …
[图书][B] Algebras, rings and modules: non-commutative algebras and rings
M Hazewinkel, NM Gubareni - 2016 - books.google.com
… FDI-ring to be decomposable into a direct product of prime rings. … We consider the prime
quiver of such rings and describe the … A ring is said to be right (left) uniserial if it is a right (left) …
quiver of such rings and describe the … A ring is said to be right (left) uniserial if it is a right (left) …